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Volumn 20, Issue 2, 2004, Pages 601-625

Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATION THEORY; DIFFERENTIAL EQUATIONS; DIFFUSION; INTEGRAL EQUATIONS; MAPPING;

EID: 2142711728     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/2/019     Document Type: Article
Times cited : (60)

References (12)
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    • Some asymptotic boundary behavior of solutions of nonlinear parabolic initial boundary value problems
    • Cannon J and DuChateau P 1997 Some asymptotic boundary behavior of solutions of nonlinear parabolic initial boundary value problems J. Math. Anal. Appl. 68 536-47
    • (1997) J. Math. Anal. Appl. , vol.68 , pp. 536-547
    • Cannon, J.1    Duchateau, P.2
  • 3
    • 0023497041 scopus 로고
    • Design of an experiment for the determination of a coefficient in a nonlinear diffusion equation
    • Cannon J and DuChateau P 1987 Design of an experiment for the determination of a coefficient in a nonlinear diffusion equation Int. J. Eng. Sci. 25 1067-78
    • (1987) Int. J. Eng. Sci. , vol.25 , pp. 1067-1078
    • Cannon, J.1    Duchateau, P.2
  • 4
    • 0001349608 scopus 로고
    • Identification de la non-linearite d'une equation parabolique quasilineaire
    • Chavent G and Lemonnier P 1974 Identification de la non-linearite d'une equation parabolique quasilineaire Appl. Math. Opt. 1 121-62
    • (1974) Appl. Math. Opt. , vol.1 , pp. 121-162
    • Chavent, G.1    Lemonnier, P.2
  • 5
    • 0031533550 scopus 로고    scopus 로고
    • An inverse problem for the hydraulic properties of porous media
    • DuChateau P 1997 An inverse problem for the hydraulic properties of porous media SIAM J. Math. Anal. 28 611-32
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 611-632
    • Duchateau, P.1
  • 6
    • 0345504864 scopus 로고    scopus 로고
    • Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation
    • Hanke M and Scherzer O 1999 Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation SIAM J. Appl. Math. 59 1012-27
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 1012-1027
    • Hanke, M.1    Scherzer, O.2
  • 7
    • 38249003336 scopus 로고
    • Identification of transmissivity coefficients by mollification techniques: Part I. 1-dimensional elliptic and parabolic problems
    • Hinestroza D and Murio D 1993 Identification of transmissivity coefficients by mollification techniques: Part I. 1-dimensional elliptic and parabolic problems Comput. Math. Appl. 25 59-79
    • (1993) Comput. Math. Appl. , vol.25 , pp. 59-79
    • Hinestroza, D.1    Murio, D.2
  • 8
    • 0026260771 scopus 로고
    • A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
    • Jarny Y, Ozisik M N and Bardon J P 1991 A general optimization method using adjoint equation for solving multidimensional inverse heat conduction Int. J. Heat Mass Transfer 34 2911-8
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 2911-2918
    • Jarny, Y.1    Ozisik, M.N.2    Bardon, J.P.3
  • 9
    • 0036773094 scopus 로고    scopus 로고
    • An efficient method for solving an inverse problem for the Richards equation
    • Knabner P and Bitterlich S 2002 An efficient method for solving an inverse problem for the Richards equation J. Comput. Appl. Math. 147 153-73
    • (2002) J. Comput. Appl. Math. , vol.147 , pp. 153-173
    • Knabner, P.1    Bitterlich, S.2
  • 11
    • 0347176406 scopus 로고    scopus 로고
    • Recovery of a variable coefficient in a coastal evolution equation
    • Reeve D E and Spivack M 1999 Recovery of a variable coefficient in a coastal evolution equation J. Comput. Phys. 151 585-96
    • (1999) J. Comput. Phys. , vol.151 , pp. 585-596
    • Reeve, D.E.1    Spivack, M.2
  • 12
    • 84966199043 scopus 로고
    • Numerical identification of a spatially varying diffusion coefficient
    • Richter G R 1981 Numerical identification of a spatially varying diffusion coefficient Math. Comput. 36 375-86
    • (1981) Math. Comput. , vol.36 , pp. 375-386
    • Richter, G.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.